Adaptive Backstepping Control for Hypersonic Vehicles with Actuator Amplitude and Rate Saturation

This paper presents a constrained control strategy for the hypersonic vehicle with actuator amplitude,rate constraints and aerodynamic uncertainties. First,a vehicle-actuator control model is derived in consideration of actuator dynamics properties explicitly. Second, a nonlinear disturbance observer is designed to estimate the aerodynamic uncertainties, and then an adaptive backstepping control technique is adopted with a modified first-order-filter to eliminate the"explosion of terms"problem. Next,for handling the actuator amplitude and rate constraints,a novel auxiliary compensation system is constructed to generate quickly compensating signals to ensure tracking performance of command signal. By the Lyapunov stability proof,the proposed control scheme can enssure that the tracking errors converge to an arbitrarily small neighborhood around zero when the actuator constraints and aerodynamic uncertainties exist. Finally,numerical simulations are implemented to illustrate the effectiveness of the proposed control method.